Physcial Chemistry:Ch 10 Introduction to Quantum Mechanics
Carotenes are molecules with alternating CâC and C=C bonds in which the electrons are delocalized across the entire alternating bond system. As such, the electrons can be approximated as being a particle-in-a-box. Lycopene is a carotene found in tomatoes and watermelon. Assuming that the alternating carbon-carbon bond system is 2.64 nm wide:
(a) What is the energy of the n = 11 level?
(b) What is the energy of the n = 12 level?
(c) What is the âE between n = 11 and n = 12?
(d) If, by the Bohr frequency condition, âE = hν, what frequency and wavelength of light corresponds to the transition from n = 11 to n = 12?
Answer:
(a) 1.05Ã10â18 J (b) 1.24Ã10â18 J (c) 1.9Ã10â19 J (d) ν = 2.87Ã1014 s â1 , λ = 1.05 µm
Physcial Chemistry:Ch 10 Introduction to Quantum Mechanics
Carotenes are molecules with alternating CâC and C=C bonds in which the electrons are delocalized across the entire alternating bond system. As such, the electrons can be approximated as being a particle-in-a-box. Lycopene is a carotene found in tomatoes and watermelon. Assuming that the alternating carbon-carbon bond system is 2.64 nm wide:
(a) What is the energy of the n = 11 level?
(b) What is the energy of the n = 12 level?
(c) What is the âE between n = 11 and n = 12?
(d) If, by the Bohr frequency condition, âE = hν, what frequency and wavelength of light corresponds to the transition from n = 11 to n = 12?
Answer:
(a) 1.05Ã10â18 J (b) 1.24Ã10â18 J (c) 1.9Ã10â19 J (d) ν = 2.87Ã1014 s â1 , λ = 1.05 µm
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